On the Energy Sum Rule of the Ring Heisenberg Hamiltonian

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概要

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• The sum rules for the energy eigenvalues of the ring Heisenberg Hamiltonian are discussed according to the classification of eigenstates through the total spin, the z-component of the total spin and the wave number. It is shown that the number of the eigenstates belonging to the energy sum obtained by our method substantially corresponds to one-n-th of that obtained by Van Vleck. With respect to the average energy defined as the quotient of the energy sum divided by the number of states, it is found that there exists a significant difference in its values between ours and Heisenberg's in the case of small n. The algebraic properties of the energy levels for atoms as many as eight are made clear by using the moments of the energy eigenvalues.

• 理論物理学刊行会の論文
• 1981-01-25

著者

• Fujii Katsuhiko

  Okayama University Of Science

• GENKAWA Noriaki

  Okayama University of Science

関連論文

• Symmetry Properties of the Ring Heisenberg Hamiltonian and New Sum Rule for Its Energy Eigenvalues
• On the Energy Sum Rule of the Ring Heisenberg Hamiltonian

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